In a graph G, a module is a vertex subset M such that every vertex outside M is adjacent to all or none of M. A graph G is prime if ϕ, the single-vertex sets, and V(G) are the only modules in G. A prime...

Let R be a commutative ring and I be an ideal of R. The ideal based zero-divisor graph, denoted by ΓI(R), is the graph with the vertex set {x∈R−I:xy∈Ifor somey∈R−I} and two distinct vertices x and y...

Using the concept of approximately order bounded sets with respect to a lattice seminorm, we establish some new characterizations of positive weak almost limited operators on Banach lattices. Consequently,...

This study concerns the existence of positive solutions for the following nonlinear boundary value problem: {−Δu=am(x)u−bu2−cupup+1−Kin Ω,u=0on ∂Ω, where Δu=div(∇u) is the Laplacian of u, while a,b,c,p,K...

In this paper, first we give conditions under which the weighted mean matrix operator is bounded on the weighted Hardy spaces, and we characterize the spectrum of the weighted mean matrix operator acting...

By means of two fixed-point theorems on cone in Banach spaces, some existence and multiplicity results of positive solutions of a nonlinear fractional differential equation boundary value problem are...

We characterize the self-adjoint domains of general even order linear ordinary differential operators which have finite interior singular points in terms of real-parameter solutions of the differential...

We investigate some numerical characteristics of Toeplitz operators including the numerical range, maximal numerical range and maximal Berezin set. Further, we establish an inequality for the Berezin...

Let H be a complex Hilbert space and B(H) the algebra of all bounded linear operators on H. We give the concrete forms of surjective continuous unital linear maps from B(H) onto itself that preserve...

In this paper we study the existence of a singular Hamilton–Jacobi equation under the framework of viscosity solutions. The analysis is inspired by the arguments of [8] where a study of a model on dislocation...

In this paper some new Hadamard-type inequalities for functions whose derivatives in absolute values are convex are established. Some applications to special means of real numbers are given. Finally,...

We use the operatorial approach to obtain, in non-Archimedean spaces, the Hyers–Ulam stability of the Pexider K-quadratic functional equation∑k∈Kf(x+k·y)=κg(x)+κh(y),x,y∈E,where f,g,h:E→F are applications...

In this paper, two efficient numerical methods for solving system of fractional differential equations (SFDEs) are considered. The fractional derivative is described in the Caputo sense. The first method...

In this paper, we obtain some companions of Ostrowski type inequality for absolutely continuous functions whose second derivatives absolute values are convex and concave. Finally, we give some applications...

In this work, we establish the real Paley–Wiener theorem for the generalized Fourier transform on R. Therefore, we study the connection between the real Paley–Wiener theorem and local spectral theory....

The aim of this paper is to study the gravitational field of Schwarzschild soliton. Use of characteristic of λ-tensor is given to determine the kinds of gravitational fields. Through the cases of two...

Let R be a prime ring of char(R)≠2,Z the center of R, and L a nonzero Lie ideal of R. If R admits a generalized derivation F associated with a derivation d which acts as a homomorphism or as anti-homomorphism...

The purpose of this paper is to study the growth and fixed points of meromorphic solutions and their derivatives to complex higher order linear differential equations whose coefficients are meromorphic...

In this paper ideas of different types of convergence of a sequence of random variables in probability, namely, statistical convergence of order α in probability, strong p-Cesàro summability of order...

The paper addresses the computation of elements of double Hopf bifurcation for retarded functional differential equations (FDEs) with parameters. We present an efficient method for computing, simultaneously,...

By proving the required auxiliary results, two Boehmian spaces are constructed for the purpose of extending the curvelet transform to the context of Boehmian spaces. A convolution theorem for curvelet...

In this paper, we define some new sequence spaces of lacunary convergent sequences derived by Nörlund-type (Riesz) mean, which shall be denoted by |N‾,pr,θ| and (N‾,pr,θ), and investigate some relations...

The sequence Pk,n=1+10k+102k+⋯+10(n−1)k can be used to generate infinitely many Smith numbers with the help of a set of suitable multipliers. We prove the existence of such a set, consisting of constant...

We establish some formulas relating multipartitional polynomials to multinomial polynomials. They appear, respectively, as a natural extension of Bell polynomials and of polynomials of binomial type....

In this paper we prove that there do not exist warped product GCR-lightlike submanifolds in the form M=N⊥×λNT such that N⊥ is an anti-invariant submanifold tangent to V and NT an invariant submanifold...

In this paper, we give a bilateral form of an identity of Andrews, which is a generalization of the 1ψ1 summation formula of Ramanujan. Using Andrews’ identity, we deduce some new identities involving...

In this paper, we consider a one-dimensional porous thermoelasticity system of type III with a viscoelastic damping acting on one of the equations. We establish a general decay result for the case of...

In this article we calculate the Tian invariant on some Fano manifolds. These manifolds generalize those introduced by the first author in collaboration with Pascal Cherrier, in [1]. The method used...

This paper considers the spectral distribution and the concept of clustering and attraction in the sense of eigenvalues sequence of g-Toeplitz structures {Tn,g(f)} defined by Tn,g(f)=[fˆr-gs]r,s=0n-1,...

In this article, Cauchy’s integral formula for nth q-derivative of analytic functions is established and used to introduce a new proof to q-Taylor series by means of using the residue calculus in the...

Let G be a group and ω(G) be the set of element orders of G. Let k∈ω(G) and sk be the number of elements of order k in G. Let nse(G)={sk∣k∈ω(G)}. In Khatami et al. and Liu’s works L3(2) and L3(4) are...

Kobayashi has shown that for the submersion π:M→B of a CR-submanifold of a Kaehler manifold M¯ onto an almost Hermitian manifold B,B is necessarily a Kaehler manifold. Since generic submanifolds are...

We prove the existence of a solution to the system of nonlinear variational inclusions problem. We provide examples of applications related to a coupled best approximations theorem for multivalued mappings...

In this paper, the existence of infinitely many solutions for a class of systems of n fourth order partial differential equations coupled with Navier boundary conditions is established. The approach...

In this paper, we study some properties of Whitney numbers of Dowling lattices and related polynomials. We answer the following question: there is a relation between Stirling and Eulerian polynomials....